2889504 has 72 divisors (see below), whose sum is σ = 8386560. Its totient is φ = 943488.

The previous prime is 2889503. The next prime is 2889511. The reversal of 2889504 is 4059882.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

2889504 is a modest number, since divided by 9504 gives 288 as remainder.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2889503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22689 + ... + 22815.

It is an arithmetic number, because the mean of its divisors is an integer number (116480).

2^2889504 is an apocalyptic number.

2889504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2889504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193280).

2889504 is an abundant number, since it is smaller than the sum of its proper divisors (5497056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2889504 is a wasteful number, since it uses less digits than its factorization.

2889504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2889504 is about 1699.8541113872. The cubic root of 2889504 is about 142.4320636463.

The spelling of 2889504 in words is "two million, eight hundred eighty-nine thousand, five hundred four".